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Séminaire Lotharingien de Combinatoire, B46f (2001), 13 pp.

# Igor Pak

#
Hook Length Formula and Geometric Combinatorics

**Abstract.**
We present here a transparent proof of the hook length
formula. The formula is reduced to an equality between the number of
integer point in certain polytopes. The latter is established by
an explicit continuous volume-preserving piecewise linear map.

Received: July 27, 2001; Accepted: August 14, 2001.

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